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Simplifying 12(4z + -1) = 3(z + 2) Reorder the terms: 12(-1 + 4z) = 3(z + 2) (-1 * 12 + 4z * 12) = 3(z + 2) (-12 + 48z) = 3(z + 2) Reorder the terms: -12 + 48z = 3(2 + z) -12 + 48z = (2 * 3 + z * 3) -12 + 48z = (6 + 3z) Solving -12 + 48z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -12 + 48z + -3z = 6 + 3z + -3z Combine like terms: 48z + -3z = 45z -12 + 45z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 45z = 6 + 0 -12 + 45z = 6 Add '12' to each side of the equation. -12 + 12 + 45z = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 45z = 6 + 12 45z = 6 + 12 Combine like terms: 6 + 12 = 18 45z = 18 Divide each side by '45'. z = 0.4 Simplifying z = 0.4
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